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Nana76 [90]
3 years ago
6

Bill found a book he wanted on sale for $20.80. The original price of the book was $32. Find the discount rate.

Mathematics
1 answer:
Maurinko [17]3 years ago
3 0

Answer:

35% discount

Step-by-step explanation:

We can first find what percent of 32 20.80 is.

This can be shown by using a percent proportion.

\frac{20.80}{32} = \frac{x}{100}

We can cross multiply to find the value of x.

20.80\cdot100=2080\\\\2080\div 32 = 65

So 20.80 is 65% of 32.

However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.

100 - 65 = 35

So the book was on a 35% discount.

Hope this helped!

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[|(x-4)÷(x+5)|]\leq[4]
Katena32 [7]

Answer:

Solutions are;

x = -8

x = -3.2

Step-by-step explanation:

Here, we want to solve the given equation for x

|(x-4)/(x + 5)| = 4

From what we have, this is an absolute value equation and thus, we are going to have two solutions

These are;

x-4/x+ 5 = 4

x-4 = 4(x + 5)

x-4 = 4x + 20

x-4x = 20 + 4

-3x = 24

x = -24/3

x = -8

secondly;

x-4/x+5 = -4

x-4 = -4(x + 5)

x-4 = -4x - 20

x + 4x = -20 + 4

5x = -16

x = -16/5

x = -3.2

3 0
3 years ago
Which number added to -14 will equal 9?​
Vlada [557]

Answer:

23

Add positive 14 and 9 to get 23

14 + 9 = 23

-14 + 23 = 9

8 0
2 years ago
Find mZXZx(5t - 13°Y(3t+ 3)
trapecia [35]

The diagram provided is an isosceles triangle. An isosceles triangle has two sides having equal measure and two base angles also having equal measure.

From the marks on the triangle given, line ZX and line ZY are equal in length. This also means angle X and angle Y are equal in measure.

Therefore, we would have;

\begin{gathered} 5t-13=3t+3 \\ \text{Collect all like terms and you'll have,} \\ 5t-3t=3+13 \\ 2t=16 \\ \text{Divide both sides by 2} \\ \frac{2t}{2}=\frac{16}{2} \\ t=8 \\ \text{If t=8, then} \\ 5t-13=5(8)-13 \\ 5t-13=40-13 \\ 5t-13=27 \end{gathered}

This means angle X and angle Y both equal 27 degrees each.

Note that the sum of angles in a triangle is 180. Therefore, in triangle ZXY,

undefined

7 0
11 months ago
Find two numbers whose difference is 12 and whose sum is 40
riadik2000 [5.3K]
Your answer is going to be 26 and 14, because 26+14=40, and 26-14=12.:)
5 0
3 years ago
the scale of a model railroad set is 3.5 millimeters to one foot if the length of a model car in the set is 150 millimeters what
Montano1993 [528]

\bf \begin{array}{ccll} \stackrel{mm}{model}&\stackrel{ft}{actual}\\ \cline{1-2} 3.5&1\\ 150&x \end{array}\implies \cfrac{3.5}{150}=\cfrac{1}{x}\implies x=\cfrac{150\cdot 1}{3.5}\implies x\approx 42.86

6 0
3 years ago
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